Q. 3

Expert-verified
Found in: Page 736

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# a. Suppose that throughout some region of space. Can you conclude that in this region? Explain. b. Suppose that throughout some region of space. Can you conclude that in this region? Explain.

(a) No, is not necessarily .

(b) Yes, is zero

See the step by step solution

## Step 1 : Given information and formula used

Given :

a.

b.

Theory used :

In the region of constant electric potential, electric field is zero so there is no charge inside the region.

Electric field is the negative slope (“derivative” or “gradient”) of the potential.

## Step 2 : Determining if  in this region

a) No.

However, you can deduce that , implying that the potential in that region of space is constant.